Nontrivial solutions of Kirchhoff type problems

作者：Sun Juan; Liu Shibo^*

来源：Applied Mathematics Letters, 2012, 25(3): 500-504.

DOI：10.1016/j.aml.2011.09.045

• Kirchhoff type problems
• Eigenvalues
• Critical groups
• Critical points

In this work, we study Kirchhoff type problems on a bounded domain. We consider the cases where the nonlinearity is superlinear near zero but asymptotically 4-linear at infinity, and the nonlinearity is asymptotically linear near zero but 4-superlinear at infinity. By computing the relevant critical groups, we obtain nontrivial solutions via Morse theory.

• 出版日期2012-3
• 单位汕头大学